text
stringlengths
2
1.42k
label
int64
0
1
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularity; filtration of the limit mixed Hodge structure; vanishing cohomology; intersection form; Hodge numbers J. H. M. Steenbrink, Monodromy and weight filtration for smoothings of isolated singularities, Compositio Math. 97 (1995), no. 1-2, 285 -- 293. Special issue in honour of Frans Oort.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) derivation; nilpotent Lie algebra; isolated singularity; \(k\)-th Yau algebras
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularity; Lie algebra; generalized Cartan matrix
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Hilbert function; generic hyperplane section; complete intersection Re, R.: Sulle sezioni iperpiane di una varietà proiettiva. Le matematiche 42, 211-218 (1987)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) complete intersection; isolated singularity; \({\mathbb{Q}}\)-factoriality; Nèron-Severi group; projective variety; factoriality P. Sabatino, Examples of factorial threefolds complete intersection in \(\mathbb{P}^{5}\) with many singularities , Ric. Mat. 58 (2009), no. 2, 285-297.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated surface singularity; limits of tangent planes; tangent cone; polar curves; Milnor number Clementa Alonso, Nuria Corral & Dũng Tràng Lê, Limites de espacios tangentes en superficies, Monografías del Seminario Iberoamericano de Matemáticas 1, Instituto Interuniversitario de Estudios de Iberoamerica y Portugal, 2002
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) affine scheme; hyperplane section; Gröbner basis; family of schemes; tomography; Hough transform Robbiano, L., Hyperplane sections, Gröbner bases, and Hough transforms, J. pure appl. algebra, 219, 2434-2448, (2015)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularity; Łojasiewicz exponent
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) derivation; nilpotent Lie algebra; isolated singularity; k-th Yau algebras
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) quasihomogeneous complete intersection; Poincaré polynomial; isolated singularity; de Rham complex; local cohomology Aleksandrov, A. G., The de Rham complex of quasihomogeneous complete intersection, Funkts. Anal. Prilozhen., 17, 63-64, (1983)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) homological theory of filtration; surface singularities; Rees ring; good filtration; filtered blowing-up; local cohomology; canonical modules; divisor class group; isolated singularity; singularities with star-shaped resolution Tomari, M.; Watanabe, K., Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ''star-shaped'' resolution, Publ. Res. Inst. Math. Sci., 25, 681-740, (1989)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Lie-algebra of a singularity; isolated hypersurface singularity Hauser H, Müller G (1994) On the Lie algebra ?(X) of vector fields on a singularity. J Math Sci Univ Tokyo1: 239-250
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) polar curves; germ of plane analytic curve; plane curve; isolated singularity; polar curve; Puiseux expansions; topological type E. Garcia-Barroso, Sur les courbes polaires d'une courbe plane réduite, Proc. London Math. Soc., (3) 81 (2000), 1-28.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Surface (projective); hyperplane section; osculating spaces Lanteri A. (2000). On the osculatory behavior of surface scrolls. Matematiche (Catania) 55: 447--458
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) non-isolated surface singularity; Milnor fiber; Waldhausen manifold; graph manifold Michel F., Pichon A. and Weber C., The boundary of the Milnor fiber of some non-isolated singularities, Osaka J. Math. 46 (2009), 291-316.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) monodromy; isolated cyclic quotient singularity; Lefshetz number; zeta function
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularities; polar curve; vanishing cycles; perverse shaves; constructible sheaves; characteristic cycle; Euler characteristic; complete intersections; complex link of a singularity D. Massey, A general calculation of the number of vanishing cycles , preprint, 1992.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Artin's approximation theorem; hypersurface with an isolated singular point; \(\beta\)-function; Milnor number; multiplicity of the singular point Lejeune-Jalabert, M, Courbes tracées sur un germe D'hypersurface, Am. J. Math., 112, 525-568, (1990)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) number of singularities; deformation of isolated complete intersection singularity; Milnor lattice; weighted homogeneous singularities DOI: 10.1112/jlms/s2-31.3.401
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Lie-Rinehart algebra; Lie-Rinehart cohomology; isolated singularity; integrable connection; quasi-homogeneous surface singularity Eriksen, E.; Gustavsen, T. S., Lie-rinehart cohomology and integrable connections on modules of rank one, J. Algebra, 322, 4283-4294, (2009)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) avoidance lemma; Bertini-type theorem; hypersurface; moving lemma; Noether normalization; \(1\)-cycle; pictorsion; quasisection; rational equivalence; zero locus of a section
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) dual variety in characteristic 2; general hyperplane section; null correlation bundle Ballico, E.: On the dual variety in characteristic 2. Compositio math 75, 129-134 (1990)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) germ of an isolated singularity; Du Bois singularity; n-dimensional purely elliptic singularities; Hodge structure of the exceptional divisors S. Ishii, On Isolated Gorenstein Singularities. Math. Ann.270, 541--554 (1985).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) local Euler obstruction; Chern-Schwartz-MacPherson class; generic determinantal varieties; essentially isolated determinantal singularity; stabilization
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) derivation; Lie algebra; isolated singularity
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated hypersurface singularities; Milnor algebras; Mather-Yau theorem; classical invariant theory; associated polynomials 14. A. V. Isaev, On two methods for reconstructing homogeneous hypersurface singularities from their Milnor algebras, Methods Appl. Anal.21 (2014) 391-405.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Milnor fibration; pure n-dimensional complex space; isolated singularity Gert-Martin Greuel and Joseph Steenbrink, On the topology of smoothable singularities, Singularities, Part 1 (Arcata, Calif., 1981) Proc. Sympos. Pure Math., vol. 40, Amer. Math. Soc., Providence, R.I., 1983, pp. 535 -- 545.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) projective extension; Wahl map; Gauss map; hyperplane section
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hyperplane section; linear section; linear projective group
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) functional code; hyperplane section; projective variety; complete intersection Lachaud, G.: Number of points of plane sections and linear codes defined on algebraic varieties. In: Arithmetic, Geometry and Coding Theory (Luminy, 1993), pp.77--104. de Gruyter, Berlin (1993)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) nontrivial extension of projective variety; deformation; hyperplane section L'vovsky, S., Extensions of projective varieties and deformations, I, Michigan Mathematical Journal, 39, 41-51, (1992)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) bound properties on maximal Cohen-Macaulay modules; henselian ring; Auslander-Reiten quivers; Gorenstein isolated singularity Popescu, D., Roczen, M.: Indecomposable Cohen-Macaulay modules and irreducible maps. Compositio Math.76, 277--294 (1990)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) non-smoothable isolated singularities; link of the singularity; surface singularities; configuration of exceptional curves
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) integral closure; Hilbert-Samuel polynomial; Riemann-Roch theorem; Cohen- Macaulay; hyperplane sections M. Morales, Polynôme d'Hilbert-Samuel des clôtures intégrales des puissances d'un idéal \?-primaire, Bull. Soc. Math. France 112 (1984), no. 3, 343 -- 358 (French, with English summary).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) quasi-homogeneous isolated singularity
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) polarized variety; hyperplane section; branched covering; linear system; graded ring Y. Amitani, Projective manifolds with hyperplane sections being five-sheeted covers of projective space. (Preprint).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) conjecture of Wahl; deformations of coherent sheaves; miniversal deformations of an isolated singularity; deformations of compact complex analytic spaces Greuel G M, Looijenga E. The dimension of smoothing components. Duke Math J, 1985, 52: 263--272
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) rational singularity; terminal singularity; canonical singularities; hyperplane sections; Gorenstein singularity; elliptic singularity; deformations of a singularity DOI: 10.1007/BF02941384
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hyperplane section of an arithmetically Cohen-Macaulay local complete intersection curve Walter C., Hyperplane sections of Arithmetically Cohen-Macaulay Curves (1981)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) projective varieties; isolated singularities; resolution of singularities; simple normal crossing divisors, derived category; intersection cohomology; decomposition theorem; mixed Hodge theory; Hodge-Riemann bilinear relations
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Milnor number; isolated complete intersection singularity; Tjurina number; analytic invariants Vosegaard H. Generalized Tjurina numbers of an isolated complete intersection singularity. Math Ann, 329(2): 197--224 (2004)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) degree of surface; projective cone over hyperplane section; strictly negative deformations; genus; seminegative deformations S. Tendian, The Gaussian map and deformations of cones ,
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) free divisor; linear free divisor; non-isolated singularity; deformation theory; logarithmic de Rham cohomology Michele Torielli, ``Deformations of free and linear free divisors'', Ann. Inst. Fourier63 (2013) no. 6, p. 2097-2136
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) simple germ; germ of function; contact classification; isolated hypersurface singularity; Milnor fiber
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Castelnuovo-Mumford regularity; Eisenbud-Goto regularity conjecture; isolated singularity; double point divisor; multiplier ideal
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Betti numbers; cohomology groups of moduli spaces; Mumford-stable vector bundle; surface; Lefschetz hyperplane theorem J. Li, The first two Betti numbers of the moduli spaces of vector bundles on surfaces, Comm. Anal. Geom. 5 (1997), 625--684.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated complete intersection singularity; Milnor fibration; Milnor number; mixed Newton number; uniform stable radius
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) genus of singularities; hypersurface singularity; multiplicity; modification; nearly absolutely isolated m-tuple point; m-tuple coverings
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) bound for the first cohomology; arithmetic genus of a generic hyperplane section Brodmann, M.: A Bound for the first Cohomology of a Projective Surface. Arch. Math.50, 68--72 (1988)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) projective plane; postulation; genus; hyperplane section; lacunarity of the numerical character Ellia, Ph.; Peskine, Ch., Groupes de points de \(\mathbb{P}^2\): caractère et position uniforme, (Algebraic Geometry, L'Aquila, 1988, Lect. Notes Math., vol. 1417, (1990)), 111-116
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) singularity categories; noncommutative resolutions; derived quotients; recollements; Cohen-Macaulay modules; isolated hypersurface singularities
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Brill-Noether theory; Brill-Noether number; hyperplane section of a simple K3 surface
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) link of isolated surface singularity; canonical weight filtration; Massey product; plumbing structure
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Gauss-Manin system; versal deformation of an isolated singularity; Hilbert's 16th problem
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) canonical singularities; rational singularities; deformations of isolated singularities; Grauert-Riemenschneider vanishing theorem doi:10.1016/j.jalgebra.2012.10.007
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) characterizing curves on surfaces; hyperplane section
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) finite representation type; local commutative noetherian integrally closed Cohen-Macaulay domain; finite Cohen-Macaulay type; almost split sequences; isolated singularity; scroll
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) fatness; degenerate general hyperplane section E. Ballico, N. Chiarli, S. Greco, Projective schemes with degenerate general hyperplane section II, preprint.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hyperplane arrangements; Torelli theorem; unstable hyperplanes; Dolgachev sheaf of logarithmic differentials; logarithmic vector fields; stable curves Faenzi, Daniele; Matei, Daniel; Vallès, Jean, Hyperplane arrangements of Torelli type, Compos. Math., 149, 2, 309-332, (2013)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Euler characteristic; irreducible component of reduced algebraic curve; virtual singularity theorem; Miyaoka-Yau inequality Kojima, H.: On veys' conjecture. Indag. math. 10, 537-538 (1999)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) fat points; germ of a complex algebraic surface; cotangent cohomology; rational surface singularity; tangent cone; hypersurface singularity; quotient singularity; hyperplane sections; partition curves; deformation; Harrison cohomology
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularity of complete intersection; minors of jacobian matrix
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Massey product; Grothendieck section conjecture; Belyi theorem; Galois cohomology; lower central series; group cohomology
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) polarized variety; hyperplane section; branched covering; linear system; graded ring
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Hochschild cohomology; Harrison cohomology; André-Quillen cohomology; affine toric varieties; isolated singularity Altmann, K.; Sletsjøe, A. B., André-Quillen cohomology of monoid algebras, J. Algebra, 210, 1899-1911, (1998)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) regular ring; global dimension; regularity for non-commutative rings; ring of differential operators; normal toric algebra; conic module; complete conic module; projective resolution; non-commutative resolution; non-commutative crepant resolution; simplicial algebra; chambers of constancy; hyperplane arrangement; acyclicity Lemma; Frobenius map; Kunz's Theorem; F-regularity; minimal model program; rational singularities
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) conductor; Gauß-Manin connection; isolated singularity; milnor number; nullstellensatz; Puiseux series
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) tangent line; hyperplane section
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Milnor lattice of an isolated curve singularity; 1-modal singularities; intersection form; singular locus; braid group; computer algebra
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Euler characteristic; fiber of polynomial map; isolated singularity Dutertre, N.: Sur la fibre d'un polynôme de rn à points critiques isolés. Manuscripta math. 100, 437-454 (1999)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) isolated singularity; complex curve; complex foliation; profile
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) quasihomogeneity of isolated singularity; complete intersection curve; Milnor number; Tjurina number; unimodal complete intersection singularities; Gröbner base Pfister, G.; Schönemann, H.: Singularities with exact Poincarè complex but not quasihomogeneous. Revista Mathematica Madrid (2) 2y3, 161-171 (1989)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) hyperplane sections; ample sheaf; \(\Delta\)-genus; hyperplane section; classification A. Lanteri, Small degree covers of \(\bm{P}^{n}\) and hyperplane sections, In: Writings in honor of Giovanni Melzi, Sci. Mat., 11 , Vita e Pensiero, Milan, 1994, pp.,231-248.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Cayley plane; octonionic contact structure; twistor fibration; parabolic geometry; Severi variety; hyperplane section; exceptional geometry
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) cohomology groups; Leray spectral sequence; Leray filtration; base change maps; stratifications; constructible complex; perverse sheaves; Lefschetz hyperplane theorem M. A. A. de Cataldo, ''The standard filtration on cohomology with compact supports with an appendix on the base change map and the Lefschetz hyperplane theorem,'' in Interactions of Classical and Numerical Algebraic Geometry, Providence, RI: Amer. Math. Soc., 2009, vol. 496, pp. 199-220.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) bi-Lipschitz; isolated singularity Birbrair L., Fernandes A., Neumann W.D.: Separating sets, metric tangent cone and applications for complex algebraic germs. Selecta Math., 16, 377--391 (2010)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) smooth projective varieties; flag varieties; Miyaoka's semipositivity theorem; cotangent bundle; rational surfaces; divisorial contractions; fibrations; crystalline differential operators; étale fundamental group; semistability; reflexives sheaves; semipositive sheaves; uniruled varieties; Riemann-Hilbert correspondence; stable Higgs bundle; Chern classes; flat connections; Artin's criterion of contractibility; Kodaira dimension; Hirzebruch surface; canonical divisor; surfaces of general type; Barlow's surfaces; del Pezzo surfaces; Fano three-folds
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) surfaces in projetive 3-space; isolated singularities; rational double points Gallarati, D, Superficie algebriche con molti punti singolari isolati, Bull. Math. Soc. Sci. Math. Roumanie, 55, 249-274, (2012)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) subadjoint ideals; hyperplane sections; sub-adjoint hypersurface
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) semialgebraic set-valued mappings; Sard-type theorem; subdifferential; strong regularity; metric regularity; identifiable manifold; active set; quadratic growth D. Drusvyatskiy, A. D. Ioffe, and A. S. Lewis, \textit{Generic minimizing behavior in semialgebraic optimization}, SIAM J. Optim., 26 (2016), pp. 513--534.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) complete intersection Calabi-Yau threefolds; isolated curves; \(K3\) surfaces Knutsen, A. L., Smooth, isolated curves in families of Calabi-Yau threefolds in homogeneous spaces, J. Korean Math. Soc., 50, 5, 1033-1050, (2013)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Bernstein-Sato polynomial; Milnor fibers; relative de Rham complex; de Rham cohomology; hyperplane arrangements; holonomic D-modules; integration functors; logarithmic differential forms Walther U.: Bernstein-Sato polynomial versus cohomology of the Milnor fiber for generic hyperplane arrangements. Compos. Math. 141, 121--145 (2005)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Bézout theorem; Hadamard-type inequalities Waldi R., Arch. Math 59 pp 15-- (1992)
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) linear systems of curves; generality on pointsets in projective 2-space; very ample divisor; blowing-up a finite set of points; Cayley-Bacharach theorem
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) algebraic cellular automaton; complete algebraic variety; projective algebraic variety; amenable group; Krull dimension; algebraic mean dimension; preinjectivity; Garden of Eden theorem
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) analytic functions; analytic manifold of dimension one; real spectrum; Weierstrass theorem; approximation [An-Be] Andradas, C., Becker, E.: A note on the Real Spectrum of Analytic functions on an Analytic manifold of dimension one. Proceedings of the Conference on Real Analytic and Algebraic Geometry, Trento, 1988. (Lect. Notes Math. vol. 1420, pp. 1--21) Berlin Heidelberg New York: Springer 1990
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) surfaces of general type; infinitesimal Torelli theorem; mixed Hodge structure
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) section conjecture; rational points; anabelian geometry; Shapiro's lemma Stix, J.: Trading degree for dimension in the section conjecture: the non-abelian Shapiro lemma. Math. J. Okayama Univ. 52, 29--43 (2010)Zbl 1190.14028 MR 2589844
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) rational points of algebraic curves; theorem of Mordell-Weil; effectivity; Diophantine approximation [9] J. Cassels, \(Mordell's finite basis theorem revisited\). Math. Proc. of the Cambridge Phil. Soc. 100 (1986), 31-41. &MR 8 | &Zbl 0601.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Wronskian section; Weierstrass point; Wronskian bundles
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) ample subvarieties; ample vector bundles; extension theorem; Mori theory; Fano
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) equidistribution; ergodic theory; Duke's theorem
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Zariski multiplicty problem; Gau-Lipman theorem; Ephraim-Trotman theorem
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) compactness theorem; universal closure; quasivariety; algebraic structure A. Myasnikov and N. Romanovskiy, ''Universal theories for rigid soluble groups,'' \textit{Algebra and Logic}, \textbf{50}, No. 6, 539-552 (2011).
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) existence of minimizers; Fermat theorem; Frank-Wolfe theorem; Fritz John optimality conditions; Karush-Kuhn-Tucker optimality conditions; Mangasarian-Fromovitz constraint qualification; Newton polyhedron; polynomial programming
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) reflection groups; invariant theory; generalized exponents; Coxeter groups; fake degrees; hyperplane arrangements; derivations
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) fixed point theorem; mirror symmetry
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) fundamental group; holomorphic sections; Riemann surface; Riemann-Roch number; Riemann-Roch theorem; Verlinde formula
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) Looijenga pairs; rational surfaces; moduli; Torelli theorem Mark Gross, Paul Hacking, and Seán Keel, Moduli of surfaces with an anti-canonical cycle, arXiv:1211.6367 [math.AG], 2012.
0
hyperplane section theorem; isolated singularity Mori, Shigefumi, On a hyperplane section theorem of Gurjar, Math. Ann., 0025-5831, 319, 3, 533-537, (2001) prime characteristic; invariant theory; polynomials invariant under the group action; factorization of rings of invariants; Shephard-Todd theorem D.J. Benson, \textit{Polynomial Invariants of Finite Groups, London Mathematical Society Lecture Notes Series}, vol. 190 (Cambridge University Press, Cambridge, 1993)
0